We consider the pricing of derivative products that involve dynamic hedging strategies and payments within the planning horizon. Equity-indexed annuities (EIAs), Guaranteed Investment Certificates (GICs), and American and Barrier options are typical examples of these products. Our exploration involves evaluation under crossovers of assumptions related to the portfolio composition and to the risk tolerated by the issuer. The unified constrained discrete stochastic dynamic programming framework in this presentation makes use of sequential local minimizing strategies related to stochastic transitions. This sequential minimization takes into account all intermediate requirements and involves either dynamic risk measures or riskless modeling. To demonstrate the flexibility of this framework, we present numerical examples featuring GICs.